GCD of 968, 780, 661, 725 Calculator

Given Input numbers are 968, 780, 661, 725

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 968, 780, 661, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 780, 661, 725 is 1.

Therefore, GCD of numbers 968, 780, 661, 725 is 1

Given Input Data is 968, 780, 661, 725

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 661 is 661

Prime Factorization of 725 is 5 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(968, 780) = 188760

GCD(968, 780) = ( 968 x 780 ) / 188760

GCD(968, 780) = 755040 / 188760

GCD(968, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 661

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 661) = 2644

GCD(4, 661) = ( 4 x 661 ) / 2644

GCD(4, 661) = 2644 / 2644

GCD(4, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 968, 780, 661, 725 is 1

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1. What is the GCD of 968, 780, 661, 725?

GCD of 968, 780, 661, 725 is 1

2. Where do I get the detailed procedure to find GCD of 968, 780, 661, 725?

You can find a detailed procedure to find GCD of 968, 780, 661, 725 on our page.

3. How to find GCD of 968, 780, 661, 725 on a calculator?

You can find the GCD of 968, 780, 661, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.